- Türkiye İstatistik Derneği Dergisi
- Volume:12 Issue:1
- Discrete time shock model with varying success probability
Discrete time shock model with varying success probability
Authors : Kadir KARAKAYA, Yunus AKDOĞAN, Fatih ŞAHİN, İsmail KINACI, Coşkun KUŞ
Pages : 13-24
View : 21 | Download : 8
Publication Date : 2019-07-31
Article Type : Research Paper
Abstract : Let us consider a system fails when the time between two consecutive shocks falls below a fixed threshold $\delta \in N$ and the system`s lifetime is measured as the time up to the occurrence of this event. In this paper, we consider the interarrival times between $insert ignore into journalissuearticles values(i-1);$ i-th and $i$- th successive shocks follow a geometric distribution with mean 1/p i ,where p i =t heta* p i-1 , i=1,2,..., , 0< theta <1, 0
Keywords : q distributions, delta Shock model, probabilty generating function